Final answer:
The distance between U' and U is 1.5 times the distance between U and S, given the dilation rule DQ,2.5.
Step-by-step explanation:
Given that line segment SU is dilated to create S'U' using the dilation rule DQ,2.5, we need to find the distance, x, between points U' and U.
The dilation rule DQ,2.5 means that every point on line segment SU is multiplied by a scale factor of 2.5. So, if the distance between U and S is a, then the distance between U' and S' is 2.5a. Therefore, the distance between U' and U is 2.5a - a = 1.5a.
Therefore, the distance between U' and U is 1.5 times the distance between U and S.